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Finding the Third Proportional to 726,218 and 1,687,565

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Solution

The third proportional to 726,218 and 1,687,565 is: 3,921,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,218 : 1,687,565 = 1,687,565 : x
  2. Step 2: Convert to fraction form
    726,218/1,687,565 = 1,687,565/x
  3. Step 3: Cross multiply
    726,218x = 1,687,565 × 1,687,565
  4. Step 4: Simplify right side
    726,218x = 2,847,875,629,225
  5. Step 5: Solve for x
    x = 2,847,875,629,225/726,218
  6. Step 6: Final answer
    x = 3,921,516.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.